4. Suppose you are playing a card game, and you have 3:1 odds of winning (there are no ties; you only win or lose). Your friend Alicia-your sole opponent-looks at her hand and sighs. You think that there is a 60% chance she sighs given you will win, and there is a 50% chance she sighs given that you will lose. Using our updating rule and the information given, what are the odds that you will win?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4. Suppose you are playing a card game,
and you have 3:1 odds of winning (there
are no ties; you only win or lose). Your
friend Alicia-your sole opponent-looks
at her hand and sighs. You think that there
is a 60% chance she sighs given you will
win, and there is a 50% chance she sighs
given that you will lose. Using our updating
rule and the information given, what are
the odds that you will win?
Transcribed Image Text:4. Suppose you are playing a card game, and you have 3:1 odds of winning (there are no ties; you only win or lose). Your friend Alicia-your sole opponent-looks at her hand and sighs. You think that there is a 60% chance she sighs given you will win, and there is a 50% chance she sighs given that you will lose. Using our updating rule and the information given, what are the odds that you will win?
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